That was a pretty unfortunate error in the experiment. Maybe it doesn't matter but now we don't know. It would also have been nice to have them swap coins halfway to expose any individual per coin biasing. It may seem like an irrelevant thing but I've been a lifelong magician specializing in advanced slight of hand coin magic. I carry a set of coins with me all day, every day and handle them constantly. It started out as practice but evolved into both practice and a kind of fidget toy. I have sets of coins I've probably handled for thousands of hours over decades.
Most people think of coins as immutable but they actually change quite a bit after hundreds of hours of handling. Most advanced coin magicians don't tend to use "trick" coins from a magic shop because they are actually too limiting. The coins I use are completely normal circulated coins but they are very specific because there are subtle differences in how coins handle which, at the most advanced levels, can matter. I have year-matched sets of coins I've carefully assembled because they have the degree of surface wear (sometimes called 'softness') and edge-milling which works best for the style of slights I do. Coins also vary in shape and many aren't quite round. I've actually hired a specialized machinist (aka coin-smith) to 'true-up' the shape and then re-mill the edges of certain coins.
Based on my admittedly unusual experience in handling coins, I suspect that weight, edge and surface variations in individual coins could have a material aerodynamic impact at this statistical level (sub-half a percent). BTW, there are coin magicians who have mastered the ability to flip a normal coin and control the outcome to >95%. While the coin is normal in every way, it does need to be a coin they've specifically trained with. Otherwise the hit rate falls considerably.